web viewthe plural of the word “matrix” is “matrices.” adding and...

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Algebra2/Trig Apps: Matrices Midterm Review

Basic concepts of graph theory A graph is a collection of points called vertices, joined by lines called edges. A graph is called directed or a digraph if its edges are directed (that means they have a specific direction).

A path joining two vertices of a digraph is a sequence of distinct vertices and directed edges.

A graph is called connected if there is a path connecting any two distinct vertices. It is called disconnected otherwise:

An Adjacency Matrix shows what vertices are connected. I If there is a path from one vertex to another, then you write a “1.” If two vertices are NOT connected, write a “0.”

Make an adjacency matrix for the diagram to the left.

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Organizing Data into Matrices

The plural of the word “matrix” is “matrices.”

Adding and Subtracting MatricesYou can only add or subtract matrices if they have the same dimensions.

Perform each of the following operations, and give the dimensions of the result.

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Multiplying Matrices by a Scalar

This number is called a scalar.

Perform the following operations.

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Multiplying MatricesMatrices can only be multiplied if the number of COLUMNS of the first matrix is the same as the number of ROWS of the second matrix.

Multiplication of Matrices is NOT commutative… this means that the product AxB and BxA are not usually the same thing, and a lot of times you CAN’T multiply them both ways!!

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Algebra2/Trig Apps: Transition Matrix: Matrices with Probabilities

“Transition” means “change.”

A transition matrix is a matrix that shows probabilities of related events.

Write a transition matrix for the diagram to the left.

A B CABC

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